/* Data is in the following format
   Note, if the class group has not been computed, it, the class number, the fundamental units, regulator and whether grh was assumed are all 0.
[polynomial,
degree,
t-number of Galois group,
signature [r,s],
discriminant,
list of ramifying primes,
integral basis as polynomials in a,
1 if it is a cm field otherwise 0,
class number,
class group structure,
1 if grh was assumed and 0 if not,
fundamental units,
regulator,
list of subfields each as a pair [polynomial, number of subfields isomorphic to one defined by this polynomial]
]
*/

[x^20 - 3*x^19 + 9*x^18 - 14*x^17 + 25*x^16 - 34*x^15 + 31*x^14 + 54*x^13 - 181*x^12 + 317*x^11 - 216*x^10 + 4*x^9 + 233*x^8 - 295*x^7 + 402*x^6 - 270*x^5 + 267*x^4 - 98*x^3 + 58*x^2 + 4*x + 1, 20, 664, [0, 10], 201707501835641831643973969, [61, 397], [1, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, a^15, a^16, a^17, a^18, 1/157285480741853719772425*a^19 - 9965473731289033040104/31457096148370743954485*a^18 + 27023486047400518375774/157285480741853719772425*a^17 - 6990051011052027108822/157285480741853719772425*a^16 - 49382512564307695619701/157285480741853719772425*a^15 + 16737330008516706858408/157285480741853719772425*a^14 + 5472180331855494806569/31457096148370743954485*a^13 - 40055342495425311250086/157285480741853719772425*a^12 - 50127224062810432353019/157285480741853719772425*a^11 - 6469765931332564009982/31457096148370743954485*a^10 + 49341135816469305476404/157285480741853719772425*a^9 - 69613705948544702548589/157285480741853719772425*a^8 - 48891481256859945022679/157285480741853719772425*a^7 - 48567730400160423448752/157285480741853719772425*a^6 + 69087972246389731728636/157285480741853719772425*a^5 + 12338633070963897216443/157285480741853719772425*a^4 - 71176736880857131641539/157285480741853719772425*a^3 - 2010018086153172137347/31457096148370743954485*a^2 - 44455770554736347815247/157285480741853719772425*a + 12034165382349079435203/157285480741853719772425], 0, 1, [], 1, [ (13566178933644255463089)/(157285480741853719772425)*a^(19) - (6198669126139122468326)/(31457096148370743954485)*a^(18) + (98603211672718799493961)/(157285480741853719772425)*a^(17) - (123053428227371684990608)/(157285480741853719772425)*a^(16) + (259880118483051189640911)/(157285480741853719772425)*a^(15) - (316037827955683726370288)/(157285480741853719772425)*a^(14) + (48472868101350785068021)/(31457096148370743954485)*a^(13) + (809825181842465539685246)/(157285480741853719772425)*a^(12) - (1732895459820639788862491)/(157285480741853719772425)*a^(11) + (574650175538337523445457)/(31457096148370743954485)*a^(10) - (1164783565473713127916069)/(157285480741853719772425)*a^(9) + (93043045977250759258754)/(157285480741853719772425)*a^(8) + (1679200698875848444870694)/(157285480741853719772425)*a^(7) - (2188683208642167223167778)/(157285480741853719772425)*a^(6) + (4481442408684225535610829)/(157285480741853719772425)*a^(5) - (1837561952151289974317323)/(157285480741853719772425)*a^(4) + (3313913610294856952336654)/(157285480741853719772425)*a^(3) - (135326964192201781850498)/(31457096148370743954485)*a^(2) + (887584018999685297599992)/(157285480741853719772425)*a - (88372924118479193300533)/(157285480741853719772425) , (13566178933644255463089)/(157285480741853719772425)*a^(19) - (6198669126139122468326)/(31457096148370743954485)*a^(18) + (98603211672718799493961)/(157285480741853719772425)*a^(17) - (123053428227371684990608)/(157285480741853719772425)*a^(16) + (259880118483051189640911)/(157285480741853719772425)*a^(15) - (316037827955683726370288)/(157285480741853719772425)*a^(14) + (48472868101350785068021)/(31457096148370743954485)*a^(13) + (809825181842465539685246)/(157285480741853719772425)*a^(12) - (1732895459820639788862491)/(157285480741853719772425)*a^(11) + (574650175538337523445457)/(31457096148370743954485)*a^(10) - (1164783565473713127916069)/(157285480741853719772425)*a^(9) + (93043045977250759258754)/(157285480741853719772425)*a^(8) + (1679200698875848444870694)/(157285480741853719772425)*a^(7) - (2188683208642167223167778)/(157285480741853719772425)*a^(6) + (4481442408684225535610829)/(157285480741853719772425)*a^(5) - (1837561952151289974317323)/(157285480741853719772425)*a^(4) + (3313913610294856952336654)/(157285480741853719772425)*a^(3) - (135326964192201781850498)/(31457096148370743954485)*a^(2) + (887584018999685297599992)/(157285480741853719772425)*a + (68912556623374526471892)/(157285480741853719772425) , (23422572224467538571351)/(157285480741853719772425)*a^(19) - (14356007725842311774669)/(31457096148370743954485)*a^(18) + (217045988581190854282399)/(157285480741853719772425)*a^(17) - (346859683913371300275172)/(157285480741853719772425)*a^(16) + (621536220896409399423199)/(157285480741853719772425)*a^(15) - (856421020401104425245317)/(157285480741853719772425)*a^(14) + (162847603630114960537829)/(31457096148370743954485)*a^(13) + (1168171126393045681027689)/(157285480741853719772425)*a^(12) - (4282053159845376780557369)/(157285480741853719772425)*a^(11) + (1563594755373208514661183)/(31457096148370743954485)*a^(10) - (5881312848784593808465521)/(157285480741853719772425)*a^(9) + (918196425957403638968436)/(157285480741853719772425)*a^(8) + (5205870353203163228370971)/(157285480741853719772425)*a^(7) - (7445987804226494441316777)/(157285480741853719772425)*a^(6) + (10328018180873061349219311)/(157285480741853719772425)*a^(5) - (7345233255701208902083032)/(157285480741853719772425)*a^(4) + (7266067773968492711310211)/(157285480741853719772425)*a^(3) - (625694092012719784769632)/(31457096148370743954485)*a^(2) + (1753857479751588526481003)/(157285480741853719772425)*a - (57679235625829114410847)/(157285480741853719772425) , (1001753734239796975022)/(157285480741853719772425)*a^(19) - (2307091146670918493438)/(31457096148370743954485)*a^(18) + (37902816851968101966628)/(157285480741853719772425)*a^(17) - (92685023511217393250509)/(157285480741853719772425)*a^(16) + (152362207564454151900453)/(157285480741853719772425)*a^(15) - (231390845688473109066549)/(157285480741853719772425)*a^(14) + (63662696133514320749208)/(31457096148370743954485)*a^(13) - (175468450577970739925992)/(157285480741853719772425)*a^(12) - (734916583190138959104243)/(157285480741853719772425)*a^(11) + (432059535398978337610736)/(31457096148370743954485)*a^(10) - (2969124214469564098119837)/(157285480741853719772425)*a^(9) + (1526429176859580005241867)/(157285480741853719772425)*a^(8) + (1385212770409840131734887)/(157285480741853719772425)*a^(7) - (2911279910373749745556169)/(157285480741853719772425)*a^(6) + (2696620559436953208849317)/(157285480741853719772425)*a^(5) - (2917827785747006663264054)/(157285480741853719772425)*a^(4) + (2380121756764942131151467)/(157285480741853719772425)*a^(3) - (262550818637333142757129)/(31457096148370743954485)*a^(2) + (545527383107528893217566)/(157285480741853719772425)*a + (133049962466203989874791)/(157285480741853719772425) , (16845658478385885216281)/(157285480741853719772425)*a^(19) - (9971966357318572977434)/(31457096148370743954485)*a^(18) + (151683911690644448689544)/(157285480741853719772425)*a^(17) - (236394990686121906787132)/(157285480741853719772425)*a^(16) + (431865009318315391098744)/(157285480741853719772425)*a^(15) - (587775346511597968165577)/(157285480741853719772425)*a^(14) + (111093601390609612878464)/(31457096148370743954485)*a^(13) + (854446962728572214049884)/(157285480741853719772425)*a^(12) - (2939514495774147875974689)/(157285480741853719772425)*a^(11) + (1064231866931458827329643)/(31457096148370743954485)*a^(10) - (3836695890441903216026101)/(157285480741853719772425)*a^(9) + (637450340534980981170016)/(157285480741853719772425)*a^(8) + (3443544594434600482394651)/(157285480741853719772425)*a^(7) - (4899835699229514460185562)/(157285480741853719772425)*a^(6) + (7209364467410352750156416)/(157285480741853719772425)*a^(5) - (5004256770642681518829817)/(157285480741853719772425)*a^(4) + (4998879610517749008006716)/(157285480741853719772425)*a^(3) - (417698272396440666364342)/(31457096148370743954485)*a^(2) + (1229108042953972377936818)/(157285480741853719772425)*a + (86063876943458995202718)/(157285480741853719772425) , (32833766238020429637637)/(157285480741853719772425)*a^(19) - (19897670760683314814243)/(31457096148370743954485)*a^(18) + (300036768738614827577338)/(157285480741853719772425)*a^(17) - (473893840326457999915539)/(157285480741853719772425)*a^(16) + (849202782956437842962038)/(157285480741853719772425)*a^(15) - (1165443547705410860830379)/(157285480741853719772425)*a^(14) + (217763930303289877267263)/(31457096148370743954485)*a^(13) + (1684937463656328222949443)/(157285480741853719772425)*a^(12) - (5951018612756498405532053)/(157285480741853719772425)*a^(11) + (2135693318185159393039951)/(31457096148370743954485)*a^(10) - (7735718803625960678931952)/(157285480741853719772425)*a^(9) + (857654154687182265578957)/(157285480741853719772425)*a^(8) + (7325423977773887915087002)/(157285480741853719772425)*a^(7) - (10083234451332769725133824)/(157285480741853719772425)*a^(6) + (13902297029059615364228482)/(157285480741853719772425)*a^(5) - (9717639226704388217055809)/(157285480741853719772425)*a^(4) + (9562860638727310217785757)/(157285480741853719772425)*a^(3) - (785850725018801138360274)/(31457096148370743954485)*a^(2) + (2373704992704463669236136)/(157285480741853719772425)*a - (72974213033508053472339)/(157285480741853719772425) , (9705191170237154047637)/(157285480741853719772425)*a^(19) - (4698479746015899934768)/(31457096148370743954485)*a^(18) + (66873076843647891492638)/(157285480741853719772425)*a^(17) - (79274354858055196936314)/(157285480741853719772425)*a^(16) + (145212255788220959374738)/(157285480741853719772425)*a^(15) - (178187206436217994015654)/(157285480741853719772425)*a^(14) + (15450303885135148935688)/(31457096148370743954485)*a^(13) + (722582927168970449956618)/(157285480741853719772425)*a^(12) - (1427227844273541364571928)/(157285480741853719772425)*a^(11) + (353102216838689210422231)/(31457096148370743954485)*a^(10) + (38778330242673737406398)/(157285480741853719772425)*a^(9) - (1481718992663263078029043)/(157285480741853719772425)*a^(8) + (1813339576782888138443477)/(157285480741853719772425)*a^(7) - (972161522640765160550949)/(157285480741853719772425)*a^(6) + (1825306359932659000716707)/(157285480741853719772425)*a^(5) - (308256164988159256308109)/(157285480741853719772425)*a^(4) + (652850714536128126130232)/(157285480741853719772425)*a^(3) + (20149128169663696148166)/(31457096148370743954485)*a^(2) - (142637639853056215152889)/(157285480741853719772425)*a - (13566178933644255463089)/(157285480741853719772425) , (11864135569370728574813)/(157285480741853719772425)*a^(19) - (4609308449612128075882)/(31457096148370743954485)*a^(18) + (75088577006437839407962)/(157285480741853719772425)*a^(17) - (73335591317475833924586)/(157285480741853719772425)*a^(16) + (174121300265363356326262)/(157285480741853719772425)*a^(15) - (179521335664833790898271)/(157285480741853719772425)*a^(14) + (14521248741406688925667)/(31457096148370743954485)*a^(13) + (818255462876836478400132)/(157285480741853719772425)*a^(12) - (1331153873110933005651572)/(157285480741853719772425)*a^(11) + (370934525277308985651609)/(31457096148370743954485)*a^(10) + (131839144315408774528502)/(157285480741853719772425)*a^(9) - (842866618163209733460382)/(157285480741853719772425)*a^(8) + (1648061029306071146609773)/(157285480741853719772425)*a^(7) - (1379375307386605261407776)/(157285480741853719772425)*a^(6) + (2588448062529231047694493)/(157285480741853719772425)*a^(5) - (123778883836186354649191)/(157285480741853719772425)*a^(4) + (1534616693960490111309568)/(157285480741853719772425)*a^(3) + (138542486406883599459869)/(31457096148370743954485)*a^(2) + (193779894278817097922739)/(157285480741853719772425)*a + (190171314128976897018364)/(157285480741853719772425) , (24774019947038773823188)/(157285480741853719772425)*a^(19) - (14153682364448603806927)/(31457096148370743954485)*a^(18) + (211816954542374138750737)/(157285480741853719772425)*a^(17) - (312025591492723496350911)/(157285480741853719772425)*a^(16) + (565314054927023586773787)/(157285480741853719772425)*a^(15) - (743654931637329308179571)/(157285480741853719772425)*a^(14) + (128717055980310478475967)/(31457096148370743954485)*a^(13) + (1464723438428662508041382)/(157285480741853719772425)*a^(12) - (4294371355304565158565697)/(157285480741853719772425)*a^(11) + (1426871127773765099567524)/(31457096148370743954485)*a^(10) - (4058344131985001306718373)/(157285480741853719772425)*a^(9) - (843536136154382580131382)/(157285480741853719772425)*a^(8) + (5696971708198572874795223)/(157285480741853719772425)*a^(7) - (6151868005082414445395026)/(157285480741853719772425)*a^(6) + (8608012186548553390828043)/(157285480741853719772425)*a^(5) - (5394255438897723550173691)/(157285480741853719772425)*a^(4) + (5487924085975119261086268)/(157285480741853719772425)*a^(3) - (328983127062387510928421)/(31457096148370743954485)*a^(2) + (971292282239289487887489)/(157285480741853719772425)*a + (95761603167644901979214)/(157285480741853719772425) ], 171951.500572, [[x^5 - 5*x^3 - x^2 + 3*x + 1, 1], [x^10 - 2*x^9 - x^8 - x^7 + 5*x^6 + 6*x^5 - 6*x^4 - 4*x^3 - 14*x^2 + 4*x - 5, 1], [x^10 - 5*x^9 + 15*x^8 - 30*x^7 + 40*x^6 - 36*x^5 + 16*x^4 + 3*x^3 - 9*x^2 + 5*x - 1, 1], [x^10 - 5*x^9 + 2*x^8 + 9*x^7 + 18*x^6 + 2*x^5 - 156*x^4 + 60*x^3 + 248*x^2 - 99*x - 121, 1]]]